• TOPOLOGICAL CHARACTERISATION OF CERTAIN CLASSES OF RINGS

A. V. S. N. Murty*, Ch. S. S. N. Murty, M. Bala Prabhakar, P. Satish

Abstract


In this paper it is studied about characterization of certain classes of rings in terms of topological properties of their spectra. It is well known that every Hausdorff space is a - space but not converse. But, in this paper it is proved that prime spectrum of a ring is a - space if and only if it is Hausdroff space.


Keywords


Regular ring, Topology, Prime Spectrum, T_1- space, Hausdorff space.

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